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Questions and Answers
What does the term 'pure' in pure function refer to?
What is a characteristic of a pure function?
Which of the following is not a characteristic of a pure function?
Why are pure functions useful?
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What is an example of a pure function?
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What is a benefit of using pure functions?
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What is a consequence of using pure functions?
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What is a requirement for a function to be considered pure?
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What is the main characteristic of a pure function?
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What is the advantage of having a pure function?
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What is the definition of an interface in the context of a car?
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What happens when the driver presses the accelerator?
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Why is the function 'square' considered a pure function?
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What is the main advantage of separating the interface from the implementation?
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What is the role of the accelerator in the car?
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What is an example of a pure function?
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What is a key characteristic of a pure function?
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What is the purpose of function definitions?
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What is the main difference between definitions and expressions?
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What is a key benefit of using subroutines in programming?
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What is the primary criterion for evaluating the performance of an algorithm?
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What is an example of a statement in a programming language?
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What is the purpose of parameters in a function definition?
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What is the relationship between definitions and expressions in programming?
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Study Notes
Function
- A function is a block of code that works on many kinds of inputs, like variants, expressions, and produces a concrete output.
- Functions can be categorized into pure functions and impure functions (with side effects).
Pure Functions
- Pure functions are functions that give exact results when the same arguments are passed.
- They always produce the same output for the same input, making them predictable and reliable.
- Example: The mathematical function sin(0) always results in 0.
- Advantages of pure functions include:
- The compiler only needs to call the function once if it's called several times with the same arguments.
Function Specification
- A function specification is a set of code that defines the function's behavior.
- It includes parameters (variables) and arguments (values passed to the function).
- Parameters are the variables in a function definition, and arguments are the values passed to the function.
Interface vs Implementation
- The interface is the part of a function that the user interacts with, while the implementation is the internal workings of the function.
- The interface separates the user from the internal implementation, allowing for changes to be made without affecting the user.
Parameters and Arguments
- Parameters are the variables in a function definition.
- Arguments are the values passed to a function when it's called.
- Example: In the function
let square x := return: x * x,xis a parameter, and the value passed toxis an argument.
Subroutines
- Subroutines are the basic building blocks of computer programs.
- They are used to increase the speed of computation by repeating tasks multiple times.
Time Complexity
- Time complexity is an important consideration in algorithm design, as it affects the duration of computation time.
- The duration of computation time should be independent of the programming language, compiler, and computer used.
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Description
Learn about functions, a block of code that works on various inputs, and how they can be categorized into pure and impure functions. Understand the characteristics of pure functions and their predictable output.
